Stefanos Tsitsipas will next play another Russian in fourth seed Andrey Rublev who battled past French qualifier Jeremy Chardy 7-6 (7/2), 6-7 (2/7), 6-4.
Andy Murray, 33, now ranked 123rd after a series of hip and groin injuries, lost 7-5, 6-2 to in-form Russian Andrey Rublev in Rotterdam
The world number three was the top seed for this week's tournament after arriving in the Netherlands following his run to the Australian Open final but was dumped out in just over 90 minutes by Serbian Lajovic, currently ranked 27th.
Roger Federer skips upcoming Dubai Tennis Championships; set to attend Laureus Awards in Monte Carlo
Roger Federer will not take up a wildcard invitation to next week's Dubai Championships, the event's tournament director confirmed on Friday, with the new world number one opting for an awards ceremony in Monte Carlo instead.
Rotterdam Open: Roger Federer cruises past Italy's Andreas Seppi, to face Grigor Dimitrov in summit clash
Roger Federer celebrated becoming the oldest man to reach the world number one ranking by making the Rotterdam Open final on Saturday with a 6-3, 7-6 (7/3) victory over Italy's Andreas Seppi despite losing sleep watching early-morning coverage of the Winter Olympics.
Ageless Roger Federer rides his time machine back to top of ATP rankings, becomes oldest ever World No 1
The 36-year-old Roger Federer becomes the oldest man ever to top the standings, replacing American Andre Agassi who was 33 when he last held the top spot in 2003.
Federer lies just 155 points behind the injured Nadal in the standings, with a possible 180 points available for making the last four in Rotterdam.
Wawrinka battled hard in the opening set, but saw Basic take a tie-break on his third set point, before the Swiss threw away a 4-2 lead in the second.
Eredivisie: Robin van Persie set to re-join boyhood club Feyenoord after terminating Fenerbahce contract
Netherlands' record goalscorer Robin van Persie will complete a deal to join Feyenoord from Turkish side Fenerbahce next week, the Rotterdam club announced Friday.
The inexperienced Feyenoord were a goal down after just two minutes and 3-0 behind at the 25-minute mark.
Champions League: Manager Pep Guardiola advises Manchester City to not get carried away by great start
Guardiola said he was pleased with the result but stressed the need to guard against complacency, pointing to City’s poor away record in Europe last season.
Dutch police are investigating possible terror links after arresting a Spaniard driving a van containing gas canisters close to a rock concert
Second-half headers by Nadia Nadim and Theresa Nielsen stunned holders Germany who bow out of the women's Euro after a 2-1 loss to Denmark in Rotterdam on Sunday.
Jo-Wilfried Tsonga shrugged off the absence of his coach to defeat David Goffin 4-6, 6-4, 6-1 and earn a first career title at the Rotterdam World Tennis tournament.
Rotterdam World Tennis: Jo-Wilfried Tsonga records 400th career win, sets up final against David Goffin
Jo-Wilfried Tsonga defeated Tomas Berdych 6-3, 6-4 in 72 minutes on Saturday to power into a second Rotterdam World Tennis final and record his 400th career win.
Top seed Marin Cilic battled past temperamental French opponent Benoit Paire 5-7, 6-3, 6-2 for only his second win of the year at the Rotterdam World Tennis.
Jose Mourinho to rest Wayne Rooney, other first-team stars, as Manchester United start Europa League campaign
Manchester United captain Wayne Rooney will be rested along with several other stars for the club's Europa League group match against Dutch side Feyenoord in Rotterdam on Thursday
Ahmed Aboutaleb knows what it's like to arrive as a child destitute in a strange land.
Liverpool's Europa League campaign ended at the scene of one of their greatest European triumphs as they lost 5-4 on penalties to Besiktas in the Ataturk Stadium on Thursday on a woeful night for British clubs.